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Finding the Fourth Proportional to 2,477.33, 3,716.02 and 833.86

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Solution

The fourth proportional to 2,477.33, 3,716.02 and 833.86 is: 1,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.33 : 3,716.02 = 833.86 : x
  2. Step 2: Convert to fraction form
    2,477.33/3,716.02 = 833.86/x
  3. Step 3: Cross multiply
    2,477.33x = 3,716.02 × 833.86
  4. Step 4: Simplify right side
    2,477.33x = 3,098,625.22
  5. Step 5: Solve for x
    x = 3,098,625.22/2,477.33
  6. Step 6: Final answer
    x = 1,250.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.